Question

What is the image of the point (6,0)(6,0) after a rotation of 180^{\circ}180 ∘ counterclockwise about the origin?

Answer 1

(-6,0)

Explanation:

Whether we rotate a point 180° clockwise or counterclockwise, we'll always end up at the same point.

When we rotate a point by 180°, assuming the original point is
`(x,y)`, the new coordinate becomes
`(-x,-y)`.

So:

`(-6,-0)\\\\(-6,0)`

Hope this helped!